A piece-wise affine contracting map with positive entropy

We construct the simplest chaotic system with a two-point attractor.Comment: 2 page

Rapidity correlations of protons from a fragmented fireball

We investigate proton rapidity correlations for a fireball that fragments due to non-equilibrium effects at the phase transition from deconfined to hadronic phase. Such effects include spinodal fragmentation in case of first order phase transition at lower collision energies, and cavitation due to sudden rise of the bulk viscosity at the crossover probed at RHIC and the LHC. Our study is performed on samples of Monte Carlo events. Correlation function in relative rapidity appears to be a sensitive probe of fragmentation. We show that resonance decays make the strength of the correlation even stronger.Comment: 7 pages, 6 figure

Covers of Multiplicative Groups of Algebraically Closed Fields of Arbitrary Characteristic

We show that algebraic analogues of universal group covers, surjective group homomorphisms from a $\mathbb{Q}$-vector space to $F^{\times}$ with "standard kernel", are determined up to isomorphism of the algebraic structure by the characteristic and transcendence degree of $F$ and, in positive characteristic, the restriction of the cover to finite fields. This extends the main result of "Covers of the Multiplicative Group of an Algebraically Closed Field of Characteristic Zero" (B. Zilber, JLMS 2007), and our proof fills a hole in the proof given there.Comment: Version accepted by the Bull. London Math. So

Anisotropic flow from hard partons in ultra-relativistic nuclear collisions

Anisotropies of hadronic distribution in nuclear collisions are used for determination of properties of the nuclear matter. At the LHC it is important to account for the contribution to the flow due to momentum transferred from hard partons to the quark-gluon plasma.Comment: 4 pages, proceedings of PANIC 2014 conference, Hamburg, Aug.201